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FromTheMoon [43]
3 years ago
12

The mass of Venus is 4.87 × 10 24 kg. The mass of Earth is 5.97 × 10 24 kg. What is the difference in mass between these two pla

nets? 1.1 kg 1.1 × 10 24 kg 1.22 × 10 24 kg 0.81 kg
Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer: 1.1 x 10^{24} kg

Step-by-step explanation:

Mass of Venus = 4.87 x 10^{24}

Mass 0f Earth = 5.97 x 10^{24}

The difference in mass implies :

5.97 x 10^{24} - 4.87 x 10^{24}

= 1.1 x 10^{24}

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points a,b and c are collinear on AC, and AB:BC=3/4. A is located at (x,y), B is located at (4,1), and c is located at (12,5). w
olga_2 [115]
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:

We use the distance formula to find the distance between coordinates:

3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²]  = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28  --> eqn 1

The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2

Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1

So, the second equation is

y = 1/2x -1 or x = 2 + 2y --> eqn 2

Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28 
Solving for y, 
y = -2
x = 2+2(-2) = -2

Therefore, the coordinates of point A is (-2,-2).

5 0
3 years ago
Read 2 more answers
When people say 8:15 times 195 equals 15x, what does 15x mean or stand for
wel

It means that 15 times another number equals to your equation.


3 0
3 years ago
Karen about a piece of that was cut into eight equal pieces she ate half of one piece what fraction of the whole pizza that she
Illusion [34]
If pizza has 8 pieces, then there are 7 1/2 pieces left.
She at 1/16 of the pizza.
5 0
3 years ago
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Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales. She sold $600 in clo
Rufina [12.5K]

Answer: $ 532

Step-by-step explanation:

Given: Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales.

She sold $600 in clothing on Saturday and $1200 in clothing on Sunday.

To find : Earning in two days.

Total sales she did in 2 days = $600+$1200 = $1800

Then, her total earning for 2 days = 2 x( Base salary)+ 14% of (Total sales)

= 2 x ($140) + (0.14) ($1800)

= $(280+252)

= $ 532

Hence, she earned  $ 532 over the 2 days.

3 0
3 years ago
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A mountain bike has a diameter of 26 inches. To the nearest foot how far does the tire travel when it makes 32 revolutions?
Tcecarenko [31]
Hello!

You have to find the circumference

You use the equation

2 \pi r

r is radius which is half the diameter

This gives us 81.68

Multiply this by 32

81.68 * 32 = 2613.76

This is 217.8133333 feet

The answer is 217.8133 feet

Hope this helps!
8 0
3 years ago
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